Discuss the continuity and differentiability of `f(x)=|x+1|+|x|+|x-1|AAx in R ;` also draw the graph of `f(x)`

Discuss the differentiability of f(x)=|x||x-1|

Discuss the differentiability of f(x)=|px[x]| ,-1 < x <= 2

Discuss the differentiability of f(x)=e^(-|x|)

Discuss the differentiability of f(x)="sin"|x|

Discuss the differentiability of f(x)=|(log)_e|x||

Discuss the differentiability of f(x)=mim.{|x|,|x-2|,2-|x-1|} .

Discuss the differentiability of f(x)="max"{x^2-3x+2,2-|x-1|}

Draw the graph of f(x) = x|x| .

Discuss the differentiability of f(x)=(x^2-1)|x^2-x-2|+sin(|x|)dot

Test the continuity and differentiability of the function f(x)=|(x+1/2)[x]| by drawing the graph of the function when -2lt=x<2, where [dot] represents the greatest integer function.